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1972, Volume 8, Number 7  


Ordinary Differential Equations
Stability with respect to the first approximation in the case of $g$-perturbations
N. E. Bol'shakov
1143
The solutions of the Briot and Bouquet equation with a quasiholomorphic right hand side
È. I. Grudo
1153
The stability of the solutions of differential-recurrence equations. I. Linear systems
I. P. Dimitrov
1168
Certain properties of trajectories on a surface of genus two
G. M. Erahtina
1176
Spectral analysis and the scattering problem for the operator $-d^2/dx^2+A(x)$. II
M. V. Fedoryuk
1187
The asymptotic representation of the solutions of the equation $u^{"}=a(t)|u|^n\operatorname{sign}u$
T. A. Chanturiya
1195
The limit cycles of certain differential equations
L. A. Cherkas, L. I. Zhilevich
1207
The spectrum of nonselfadjoint ordinary differential operators of higher order
R. A. Shirikyan
1214

Partial Differential Equations
The solution by the method of parabolic potentials of a certain heat conduction problem with concentrated thermal capacities
E. A. Baderko
1225
Estimation and stability of the solution of a parabolic equation with retarded argument
T. S. Sulavko
1235
Estimation in the $L_2$ metric of the derivatives of the solutions of linear nonhomogeneous equations of elliptic type and arbitrary order near the boundary of the domain
A. S. Fokht
1242
The Cauchy problem for abstract Love equations
P. I. Kharitonenko, N. J. Yurchuk
1256
Dirichlet series that are composed of the eigenvalues of boundary value problems for an arbitrary second order elliptic differential operator
V. E. Shatalov
1267

Finite difference equations
Theory of the controllability of linear discrete systems. III. Systems with aftereffect
R. Gabasov, F. M. Kirillova, V. V. Krakhotko, S. A. Minyuk
1283
Realization of a given motion under arbitrary perturbation by an impulse correction (difference schemes)
S. Y. Drozdenko, S. T. Zavalishchin
1292

Short Communications
A remark on a certain theorem of Wong
N. S. Borodin, K. S. Mamii
1302
Solution of an infinite system of second order ordinary differential equations of a special form
M. V. Butrov
1305
On the solution of the problem of the diffraction of a dipole field by a circular aperture in a plane screen in the presence of a coaxial circular disc
E. A. Ivanov
1307
The limit cycles of the Rayleigh equation
E. D. Zhitelzeif
1309
Stabilization of the motion of certain nonlinear systems with respect to linear approximation
N. F. Kirichenko
1312
Improvement of the conditions for the stability of difference schemes of increased accuracy for the heat equation by the “vanishing viscosity” method
A. F. Klement'ev
1316
A linearized method of determining the general solution of a finite equation
V. A. Ptichkin
1320
Certain sufficient criteria for the reducibility of second order linear systems
L. V. Trigubovich
1323
On the construction of a multiperiodic solution of a certain system of partial differential equations with a common principal part
D. U. Umbetzhanov
1326

Reviews and Bibliography
Рецензия на книгу В. М. Волосова, Б. И. Моргунова «Метод осреднения в теории нелинейных колебательных систем»
E. A. Grebenikov
1330

Letters to the Editor
Поправки к статье: “Об устойчивости в целом одной системы $n$ нелинейных дифференциальных уравнений” (Дифференц. уравнения, 8, № 3, 1972)
L. I. Burganskaya
1332
Letter to the editors
P. K. Senatorov
1332
 
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